Question

i make you as brainliest solve this answer

Answer 1

Answer:

To prove:

The equation is,

tan∅+sec∅-1/tan∅-sec∅+1=1+sin∅/cos∅

Identity used :

sec²∅-tan²∅=1

Solution:

It is given that,

LHS,

tan∅+sec∅-1/tan∅-sec∅+1

Use the identity,

=tan∅+sec∅-(sec²∅-tan²∅)/tan∅-sec∅+1

=tan∅+sec∅+tan²∅-sec²∅/tan∅-sec∅+1

=tan∅+sec∅+(tan∅+sec∅)(tan∅-sec∅)/tan∅-sec∅+1

=tan∅+sec∅(1+tan∅-sec∅)/tan∅-sec∅+1

=tan∅+sec∅

=sin∅/cos∅+1/cos∅

=sin∅+1/cos∅

So, LHS=RHS

Step-by-step explanation:

Hope it helps you.......